Critical parameters of shock waves in a plasma

The critical parameters at which an isomagnetic compression shock occurs are determined using a regular method based on an analysis of the type of singular points of the equations for the structure of standing shock waves propagating at an arbitrary angle to the undisturbed magnetic field in a plasma with finite conductivity and thermal conductivity.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 27–36, March–April, 1976.     

粘性及热传导对于爆轰波的影响

对在满足化学当量比的氢氧混合气体中传播的一维和二维连续旋转爆轰波进行了数值模拟,以此检验粘性和热传导对爆轰波发展和结构的影响。模拟分别基于NS和Euler控制方程,采用二步化学反应模型,对流项采用5阶MPWENO格式求解,时间方向采用3阶TVD Runge-Kutta法,粘性项采用中心差分格式进行离散。结果表明:粘性和热传导不会对爆轰波流场的基本流场结构产生影响;在具体数值上,粘性和热传导的影响值在爆轰波、斜激波、接触间断等速度或温度剧烈变化处相对较大,但总体上其影响量均比爆轰波流场的步进值小三个量级。因此,在没有壁面效应的一维爆轰和二维连续旋转爆轰波流场中,粘性和热传导项作为很小的扰动存在,对爆轰波的流场结构和数值大小基本不会产生影响。     

Propagation of shock waves in nonuniform plasma

Results of numerical simulation of the propagation of one-dimensional magnetohydrodynamic shock waves in a nonuniform plasma containing a magnetic field are discussed. Possible uses for the production of high velocities and temperatures and astrophysical applications are considered. The essential effect of the magnetic field is shown; acceleration of a shock wave is intensified in a medium with decreasing density.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 22–26, March–April, 1976.In conclusion, the authors are grateful to S. K. Godunov for a detailed discussion of the computational aspects and of the results, and to A. E. Voitenko for a discussion of experimental possibilities and of the results.     

Measurement of high electrical conductivity in silicon in shock waves

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 6, pp. 61–67, November–December, 1988.     

Nonstationary shock waves in a low-density plasma

Numerical methods are used to study nonstationary collisionless shocks in a plasma propagating at some arbitrary angle to the unperturbed magnetic field in cases where the electrical conductivity and electron thermal conductivity have finite values.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 10–15, May–June, 1973.The author thanks Yu. A. Berezin for valuable discussions.     

Magnetoacoustic shock waves in a nonuniform plasma flow

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 13–19, July–August, 1991.     

Effect of electron cyclotron waves on the structure of a weak collisionless shock wave

An analytic study is made of the structure of a weak collisionless shock wave propagating in a magnetized plasma at right angles to the magnetic field. Dissipation is produced by an instability associated with electron cyclotron oscillations.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti 1 Gaza, No. 2, pp. 187–190, March–April, 1982.I thank V. B. Baranov for suggesting the problem and constant interest in the work, and also A. V. Ershov for discussing the results.     

The influence of bound molecules on the thermal conductivity in the critical region

Summary An attempt has been made to interpret the thermal conductivity data of CO₂ in the critical region by considering the gas to be a mixture of clusters. Additional heat transfer due to the formation and the breaking of clusters has also been considered.In contradiction to the recent experimental results, the calculated thermal conductivity values do not show a sharp maximum in the critical region. The reasons for this disagreement have been discussed.     

On the structure of shock waves in liquid-bubble mixtures

Asbtract The structure of shock waves in liquids containing gas bubbles is investigated theoretically. The mechanisms taken into account are the steepening of compression waves in the mixture by convection and the effects due to the motion of the bubbles with respect to the surrounding fluid. This relative motion, radial and translational, gives rise to dissipation and to dispersion caused by the inertia of the radial flow associated with an expanding or compressed bubble. For not too thick shocks the dissipation by radial motion around the bubbles dominates over the dissipation by relative translational motion, in mixtures with low gas content. The overall thickness of the shock appears to be determined by the dispersion effect. Dissipation, however, is necessary to permit a steady shock wave. It is shown that, analogous to undular bores, a stationary wave train may exist behind the shock wave.     

Boundary layer effect on thermal NO decomposition behind incident shock waves

The thermal decomposition of nitric oxide (diluted in Argon) has been measured behind incident shock waves by means of IR diode laser absorption spectroscopy. In two independent runs the diode laser was tuned to the=0 =1² _3/2 R(18.5)-rotational vibrational transition and the=1 =2² _3/2 R(20.5)-rotational vibrational transition of nitric oxide, respectively. These two transitions originating from the vibrational ground state (=0) and the first excited vibrational state (=1) were selected in order to probe the homogeneity along the absorption path. The measured NO decomposition could satisfactorily be described by a chemical reaction mechanism after taking into account boundary layer corrections according to the theory of Mirels. The study forms a further proof of Mirels' theory including his prediction of the laminar-turbulent transition. It also shows, that the inhomogeneities from the boundary layer do not affect the IR linear absorption markedly.This article was processed using Springer-Verlag T_EX Shock Waves macro package 1.0 and the AMS fonts, developed by the American Mathematical Society.     

Steady-state thermal waves in the free-stream flow of an ideal gas with a temperature-dependent thermal conductivity

The structure of the stationary transition layer in a cold ideal gas impinging on a heated permeable surface (lattice) is investigated. Hysteresis occurs in establishing the structure of the stationary transition layer.